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Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2011, Volume 11, Issue 4, Pages 8–20 (Mi vngu96)  
This article is cited in 1 scientific paper (total in 1 paper)

$cc$-Homogeneous Cone Condition and $cc$-Balls on Heizenberg Groups

A. V. Belykha, A. V. Greshnovba

a Novosibirsk State University
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
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Abstract: We studied properties of extremals of variational problem about the shortest paths of Carnot–Carathéodory metric (the $cc$-shortest paths) on Heizenberg groups. Using the establishing results we proved that $cc$-balls are satisfying the $cc$-homogeneous cone property.
Keywords: extremals, shortest path, Carnot–Carathéodory metric, Pontryagin maximum principle, Heizenberg groups.
Received: 27.08.2010
English version:
Journal of Mathematical Sciences, 2013, Volume 195, Issue 6, Pages 779–790
DOI: https://doi.org/10.1007/s10958-013-1617-x
Document Type: Article
UDC: 517.548.2+517.972.6+517.982.22
Language: Russian
Citation: A. V. Belykh, A. V. Greshnov, “$cc$-Homogeneous Cone Condition and $cc$-Balls on Heizenberg Groups”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 11:4 (2011), 8–20; J. Math. Sci., 195:6 (2013), 779–790
Citation in format AMSBIB
\Bibitem{BelGre11}
\by A.~V.~Belykh, A.~V.~Greshnov
\paper $cc$-Homogeneous Cone Condition and $cc$-Balls on Heizenberg Groups
\jour Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform.
\yr 2011
\vol 11
\issue 4
\pages 8--20
\mathnet{http://mi.mathnet.ru/vngu96}
\transl
\jour J. Math. Sci.
\yr 2013
\vol 195
\issue 6
\pages 779--790
\crossref{https://doi.org/10.1007/s10958-013-1617-x}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Вестник Новосибирского государственного университета. Серия: математика, механика, информатика
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